Semicircle arc AB,AC,BD and CD divide the circle above in to regions. The points shown along the diameter AD divided in to 6 equal parts. If AD=6 what is the total area of the shaded region?

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23-04-2014
Mathematics

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Semicircle arc AB,AC,BD and CD divide the circle above in to regions. The points shown along the diameter AD divided in to 6 equal parts. If AD=6 what is the total area of the shaded region?

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crisforp crisforp · Answer 1 · 2014-04-23T05:34:28-04:00

crisforp crisforp

23-04-2014

Area semicircle = π * [tex] r^{2} / 2;[/tex]

the total area of the shaded region = 2 * [ π* ( [tex] BD / 2)^{2} [/tex] / 2 - π* ( [tex] CD / 2)^{2} [/tex] / 2 ] = 4π - 1π = 3π.

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